The generalized birnbaum-saunders distribution and its theory, methodology, and application

Antonio Sanhueza, VICTOR ELISEO LEIVA SANCHEZ, N. Balakrishnan

Research output: Contribution to journalArticlepeer-review

75 Scopus citations

Abstract

In this paper, we discuss the class of generalized Birnbaum-Saunders distributions, which is a very flexible family suitable for modeling lifetime data as it allows for different degrees of kurtosis and asymmetry and unimodality as well as bimodality. We describe the theoretical developments on this model including properties, transformations and related distributions, lifetime analysis, and shape analysis. We also discuss methods of inference based on uncensored and censored data, diagnostics methods, goodness-of-fit tests, and random number generation algorithms for the generalized Birnbaum-Saunders model. Finally, we present some illustrative examples and show that this distribution fits the data better than the classical Birnbaum-Saunders model.

Original languageEnglish
Pages (from-to)645-670
Number of pages26
JournalCommunications in Statistics - Theory and Methods
Volume37
Issue number5
DOIs
StatePublished - 1 Mar 2008

Keywords

  • Censored data
  • Goodness-of-fit
  • Inference and diagnostics
  • Lifetime analysis
  • Robustness
  • Simulation algorithm

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